Direct competition results from strong competition for limited resource

@article{Mirrahimi2014DirectCR,
  title={Direct competition results from strong competition for limited resource},
  author={Sepideh Mirrahimi and Benoit Perthame and Joe Yuichiro Wakano},
  journal={Journal of Mathematical Biology},
  year={2014},
  volume={68},
  pages={931-949}
}
We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already proved, this model, although more complicated than the usual Lotka–Volterra direct competition model, describes competitive interactions leading to concentrated distributions of species in continuous trait space. Here we assume a very fast dynamics for the… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 21 REFERENCES

On selection dynamics for competitive interactions

  • Journal of mathematical biology
  • 2011
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Méléard. From individual stochastic processes to macroscopic models in adaptive evolution

N. Champagnat, R. Ferrière
  • Stoch. Models,
  • 2008
VIEW 1 EXCERPT

Méléard. Individual-based probabilistic models of adaptive evolution and various scaling approximations, volume 59 of Progress in Probability

N. Champagnat, R. Ferrière
  • 2008
VIEW 1 EXCERPT

On mutation-selection dynamics

L. Desvillettes, P.-E. Jabin, S. Mischler, G. Raoul
  • Commun. Math. Sci.,
  • 2008
VIEW 3 EXCERPTS